| Title | Combinatorial structures and Lie algebras of upper triangular matrices |
|---|---|
| Authors | CEBALLOS GONZÁLEZ, MANUEL, Nunez, J. , Tenorio, A. F. |
| External publication | Si |
| Means | Appl. Math. Lett. |
| Scope | Article |
| Nature | Científica |
| JCR Quartile | 1 |
| SJR Quartile | 1 |
| JCR Impact | 1.501 |
| SJR Impact | 1.284 |
| Publication date | 01/03/2012 |
| ISI | 000298201700054 |
| DOI | 10.1016/j.aml.2011.09.049 |
| Abstract | This work shows how to associate the Lie algebra h(n), of upper triangular matrices, with a specific combinatorial structure of dimension 2, for n is an element of N. The properties of this structure are analyzed and characterized. Additionally, the results obtained here are applied to obtain faithful representations of solvable Lie algebras. (C) 2011 Elsevier Ltd. All rights reserved. |
| Keywords | Combinatorial structures; Maximal abelian dimension; Solvable Lie algebras; Abelian subalgebras; Faithful matrix representation |
| Universidad Loyola members |